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Let C1 be the circle r = cos 0 and C2 be the petal of the rose r = V3 cos(20) that is to the right of the -axis, as shown in the figure below. Let R be the region that is above the polar axis, inside the curve C1, and outside the curve C2, as shaded in the same figure. The portion of the curve C2 that is on and above the polar axis is traced () V3 T from right to left as the value of 0 increases. Also, the point with polar coordinates is on both C and 6 C2. Set up, but do not evaluate, the integral or sum of inte- grals for the following: V3 T 2'6 C1 (a) the perimeter of R C2 (b) the area of R

Let C1 be the circle r = cos 0 and C2 be the petal of the rose r = V3 cos(20) that is to the right of the -axis, as shown in the figure below. Let R be the region that is above the polar axis, inside the curve C1, and outside the curve C2, as shaded in the same figure. The portion of the curve C2 that is on and above the polar axis is traced () V3 T from right to left as the value of 0 increases. Also, the point with polar coordinates is on both C and 6 C2. Set up, but do not evaluate, the integral or sum of inte- grals for the following: V3 T 2'6 C1 (a) the perimeter of R C2 (b) the area of R

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 45E
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Let C1 be the circle r = cos 0 and C2 be the petal of the rose r = V3 cos(20) that is to the right of the -axis, as shown in the figure below. Let R be the region that is above the polar axis, inside the curve C1, and outside the curve C2, as shaded in the same figure. The portion of the curve C2 that is on and above the polar axis is traced V3 T from right to left as the value of 0 increases. Also, the point with polar coordinates is on both C1 and 2 '6 C2. Set up, but do not evaluate, the integral or sum of inte- grals for the following: V3 T 2 '6 C1 (a) the perimeter of R C2 (b) the area of R
Transcribed Image Text:Let C1 be the circle r = cos 0 and C2 be the petal of the rose r = V3 cos(20) that is to the right of the -axis, as shown in the figure below. Let R be the region that is above the polar axis, inside the curve C1, and outside the curve C2, as shaded in the same figure. The portion of the curve C2 that is on and above the polar axis is traced V3 T from right to left as the value of 0 increases. Also, the point with polar coordinates is on both C1 and 2 '6 C2. Set up, but do not evaluate, the integral or sum of inte- grals for the following: V3 T 2 '6 C1 (a) the perimeter of R C2 (b) the area of R
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